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2225143900 = 225273292237
BaseRepresentation
bin1000010010100001…
…0000000001011100
312202002000000121001
42010220100001130
514024114101100
61004444320044
7106066261000
oct20450200134
95662000531
102225143900
11a42043601
12521243024
13295cc61c5
14171744700
15d0536d6a
hex84a1005c

2225143900 has 144 divisors (see below), whose sum is σ = 5827752000. Its totient is φ = 736270080.

The previous prime is 2225143897. The next prime is 2225143931. The reversal of 2225143900 is 93415222.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993582 + ... + 995818.

It is an arithmetic number, because the mean of its divisors is an integer number (40470500).

Almost surely, 22225143900 is an apocalyptic number.

2225143900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225143900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913876000).

2225143900 is an abundant number, since it is smaller than the sum of its proper divisors (3602608100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2225143900 is a wasteful number, since it uses less digits than its factorization.

2225143900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2225143900 is about 47171.4309725707. The cubic root of 2225143900 is about 1305.5275290263.

The spelling of 2225143900 in words is "two billion, two hundred twenty-five million, one hundred forty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 49 50 58 70 98 100 116 140 145 175 196 203 245 290 343 350 406 490 580 686 700 725 812 980 1015 1225 1372 1421 1450 1715 2030 2237 2450 2842 2900 3430 4060 4474 4900 5075 5684 6860 7105 8575 8948 9947 10150 11185 14210 15659 17150 19894 20300 22370 28420 31318 34300 35525 39788 44740 49735 55925 62636 64873 71050 78295 99470 109613 111850 129746 142100 156590 198940 219226 223700 248675 259492 313180 324365 391475 438452 454111 497350 548065 648730 767291 782950 908222 994700 1096130 1297460 1534582 1565900 1621825 1816444 2192260 2270555 2740325 3069164 3178777 3243650 3836455 4541110 5480650 6357554 6487300 7672910 9082220 10961300 11352775 12715108 15345820 15893885 19182275 22251439 22705550 31787770 38364550 44502878 45411100 63575540 76729100 79469425 89005756 111257195 158938850 222514390 317877700 445028780 556285975 1112571950 2225143900